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Chapter 6: Q. 39 (page 511)

Consider the region between the graph of fx=x-2and the x-axis on [2, 5]. For each line of rotation given in Exercises 35鈥�40, use definite integrals to find the volume of the resulting solid.

Short Answer

Expert verified

The volume of the solid is9蟺

Step by step solution

01

Step 1. Given Information

The given figure is

Herefx=x-2=yx=y+2

02

Step 2. Finding Volume

V=蟺鈭�03-y2dyV=蟺鈭�03y2dyV=y33V=333蟺=9蟺

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Most popular questions from this chapter

Consider the region between f(x)=xand the x-axis on [0,4]. For each line of rotation given in Exercises 27鈥�30, use four disks or washers based on the given rectangles to approximate the volume of the resulting solid.

Use antidifferentiation and/or separation of variables to solve the given differential equations. Your answers will involve unsolved constants.

dydx=xy2

Consider the region between f(x)=xand the x-axis on 0,4. For each line of rotation given in Exercises 27鈥�30, use four disks or washers based on the given rectangles to approximate the volume of the resulting solid.

The centroid of the region between the graph of f(x) = x 2

and the x-axis on [0, 2].

Write the volume of the two solids of revolution that follow in terms of definite integrals that represent accumulations of disks and/or washers. Do not compute the integrals.
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